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Approximate the probability that 100 customers can be served in less than 2 hours of total service time. The central limit theorem also can be used to approximate probabilities for some discrete random variables when the exact probabilities are tedious to calculate. One useful example involves the binomial distribution for large values of the number of trials, n. Suppose that Y has a binomial distribution with n trials and probability of success on any one trial denoted by p. How we can obtain P (Y B)?
A federal bank examiner is interest in estimating the mean outstanding defaulted loans balance of all defaulted loans over the last three years. Calculate a 90% confidence interval for the mean balance of defaulted loans over the past three years.
The frequency distribution below was constructed from data collected from a group of 25 students. Construct a relative frequency distribution.
Assume that a set of test scores is normallyh distributed with a mean of 110 and a standard deviation of 25. Use the 68-95-99.7 rule to find the following quantities. the percentage of scores less than 110 is %.
Bbutton to determine whether the design of the control panel was contributing to the high rate of accidents in the plant. The resulting scores were as follows:
In the instance in which the selected theory of motivation was not applicable to your workplace experience, assess the need to develop and create new theoretical models of motivation in today's changing work environment.
What is an example of a research problem at your organization that would benefit from the use of either descriptive statistics or probability distribution statistics? Explain.
At 0.05 significance level, is there a difference in the mean number of defects per shift? Assume that the populations are approximately normally distributed and the variances are equal.
A machine is set to pump cleanser into a process at the rate of 8 gallons per minute. Upon inspection, it is learned that the machine actually pumps cleanser at a rate described by the uniform distribution over the interval 7.5 to 10.5 gallons per..
What is the approximate probability that the mean diameter x of the sample of 25 bearings will lie within 0.0001 inch of the population mean diameter of the bearings?
Assume the arrival of these emails is approximated by the Poisson distribution.
As an illustration, if contestant 1 obtains a smaller value than contestants 2 and 3 but contestant 4 has a smaller value than contestant 1 (X4 n) as a function of n.
Give an example of a polynomial with degree 3 such that when factored, it contains the two factors (x+5) and (2x-1), i.e., the polynomial looks like (x+5)(2x-1)(?).
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